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2053856 = 25753173
BaseRepresentation
bin111110101011011100000
310212100100202
413311123200
51011210411
6112004332
723312630
oct7653340
93770322
102053856
111183102
128306a8
1356bacc
143b66c0
152a883b
hex1f56e0

2053856 has 48 divisors (see below), whose sum is σ = 4735584. Its totient is φ = 858624.

The previous prime is 2053847. The next prime is 2053859. The reversal of 2053856 is 6583502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11786 + ... + 11958.

It is an arithmetic number, because the mean of its divisors is an integer number (98658).

22053856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367792).

2053856 is an abundant number, since it is smaller than the sum of its proper divisors (2681728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2053856 is a wasteful number, since it uses less digits than its factorization.

2053856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2053856 is about 1433.1280473147. The cubic root of 2053856 is about 127.1130083050.

The spelling of 2053856 in words is "two million, fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 173 212 224 346 371 424 692 742 848 1211 1384 1484 1696 2422 2768 2968 4844 5536 5936 9169 9688 11872 18338 19376 36676 38752 64183 73352 128366 146704 256732 293408 513464 1026928 2053856